Corpus ID: 214743325

Sampling based approximation of linear functionals in Reproducing Kernel Hilbert Spaces

@article{Santin2020SamplingBA,
  title={Sampling based approximation of linear functionals in Reproducing Kernel Hilbert Spaces},
  author={Gabriele Santin and Toni Karvonen and Bernard Haasdonk},
  journal={ArXiv},
  year={2020},
  volume={abs/2004.00556}
}
  • Gabriele Santin, Toni Karvonen, Bernard Haasdonk
  • Published 2020
  • Mathematics, Computer Science
  • ArXiv
  • In this paper we analyze a greedy procedure to approximate a linear functional defined in a Reproducing Kernel Hilbert Space by nodal values. This procedure computes a quadrature rule which can be applied to general functionals, including integration functionals. For a large class of functionals, we prove convergence results for the approximation by means of uniform and greedy points which generalize in various ways several known results. A perturbation analysis of the weights and node… CONTINUE READING

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